Evaluate the Function f(-5)=3x^4+x^3-2x^2+x+12

$f (- 5) = 3 x^{4} + x^{3} - 2 x^{2} + x + 12$

Step 1

Replace the variable $x$ with $- 5$ in the expression.

$f (- 5) = 3 {(- 5)}^{4} + {(- 5)}^{3} - 2 {(- 5)}^{2} - 5 + 12$

Step 2

Simplify the result.

Remove parentheses.

$f (- 5) = 3 {(- 5)}^{4} + {(- 5)}^{3} - 2 {(- 5)}^{2} - 5 + 12$

Simplify each term.

Raise $- 5$ to the power of $4$ .

$f (- 5) = 3 \cdot 625 + {(- 5)}^{3} - 2 {(- 5)}^{2} - 5 + 12$

Multiply $3$ by $625$ .

$f (- 5) = 1875 + {(- 5)}^{3} - 2 {(- 5)}^{2} - 5 + 12$

Raise $- 5$ to the power of $3$ .

$f (- 5) = 1875 - 125 - 2 {(- 5)}^{2} - 5 + 12$

Raise $- 5$ to the power of $2$ .

$f (- 5) = 1875 - 125 - 2 \cdot 25 - 5 + 12$

Multiply $- 2$ by $25$ .

$f (- 5) = 1875 - 125 - 50 - 5 + 12$

Simplify by adding and subtracting.

Subtract $125$ from $1875$ .

$f (- 5) = 1750 - 50 - 5 + 12$

Subtract $50$ from $1750$ .

$f (- 5) = 1700 - 5 + 12$

Subtract $5$ from $1700$ .

$f (- 5) = 1695 + 12$

Add $1695$ and $12$ .

$f (- 5) = 1707$

The final answer is $1707$ .

$1707$

Step 3